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1016291328 = 2133133181
BaseRepresentation
bin111100100100110…
…110000000000000
32121211022221121120
4330210312000000
54040132310303
6244502352240
734120222323
oct7444660000
92554287546
101016291328
11481740798
1224442b680
13132722520
1498d8c7ba
155e34d553
hex3c936000

1016291328 has 112 divisors (see below), whose sum is σ = 2919319536. Its totient is φ = 312606720.

The previous prime is 1016291299. The next prime is 1016291333. The reversal of 1016291328 is 8231926101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317898 + ... + 321078.

It is an arithmetic number, because the mean of its divisors is an integer number (26065353).

Almost surely, 21016291328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459659768).

1016291328 is an abundant number, since it is smaller than the sum of its proper divisors (1903028208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1016291328 is an equidigital number, since it uses as much as digits as its factorization.

1016291328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1016291328 is about 31879.3244595929. The cubic root of 1016291328 is about 1005.4012169981.

The spelling of 1016291328 in words is "one billion, sixteen million, two hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3181 3328 4096 4992 6144 6362 6656 8192 9543 9984 12288 12724 13312 19086 19968 24576 25448 26624 38172 39936 41353 50896 53248 76344 79872 82706 101792 106496 124059 152688 159744 165412 203584 248118 305376 319488 330824 407168 496236 610752 661648 814336 992472 1221504 1323296 1628672 1984944 2443008 2646592 3257344 3969888 4886016 5293184 6514688 7939776 9772032 10586368 13029376 15879552 19544064 21172736 26058752 31759104 39088128 42345472 63518208 78176256 84690944 127036416 169381888 254072832 338763776 508145664 1016291328